The Hooft Family
  
  

Absolute structure determination

Since J.M. Bijvoet discovered that X-ray crystallography could be used to determine the absolute structure of molecules, this technique has been refined many times.

This page concentrates on the discussion about a method described by Rob Hooft, Leo Straver and Anthony Spek that has been published in the Journal of Applied Crystallography in February 2008: J. Appl. Cryst. (2008). 41, 96-103. This method uses a combination of maximum likelihood estimation and Bayesian statistics to calculate:

  • A value y, comparable to the value of the Flack x parameter, with its standard deviation. This does not assume any prior knowledge about the compound.
  • A pair of values P2(right) and P2(wrong) expressing the likelihood that the given absolute structure is right or wrong, assuming the prior knowledge that the compound is enantiopure.
  • A triplet of values P3(right), P3(twin) and P3(wrong) expressing the likelihood that the given absolute structure is right, that the crystal is a 50%/50% inversion twin, or that the absolute structure should be inverted. This assumes the prior knowledge that the crystal can not be an inversion twin with another ratio.
The method has been implemented in PLATON.

Further reading

Questions or suggestions

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